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Finding the Fourth Proportional to 2,686.85, 3,708.19 and 1,507.91

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Solution

The fourth proportional to 2,686.85, 3,708.19 and 1,507.91 is: 2,081.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.85 : 3,708.19 = 1,507.91 : x
  2. Step 2: Convert to fraction form
    2,686.85/3,708.19 = 1,507.91/x
  3. Step 3: Cross multiply
    2,686.85x = 3,708.19 × 1,507.91
  4. Step 4: Simplify right side
    2,686.85x = 5,591,616.78
  5. Step 5: Solve for x
    x = 5,591,616.78/2,686.85
  6. Step 6: Final answer
    x = 2,081.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.